Calculate the wavenumber of the photon emitted during transition from the orbit of n =2 to n =1 in hydrogen atom. [R_H=109677 ~cm ⁻¹ ]

Step-by-step solution

For hydrogen atom, v =109677 [ 1 n_ f ^2 - 1 n _ i ^2 ] cm ⁻¹ Here, n _ i =2, n _ f =1 aligned v & =109677 [ 1 1^2 - 1 2^2 ] cm ⁻¹ & =109677 [ 1 1 - 1 4 ] cm ⁻¹ & =109677 [ 3 4 ] cm ⁻¹ & =82257.8 ~cm ⁻¹ aligned